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Modeling Scenario
240
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49
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0
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1-141-MMGameRevisited-ModelingScenario
It is assumed that the probability of an M&M chocolate, when tossed, falling on the M side is 0.5 The goal is to find a probability distribution of the probability q which is Pr(randomly chosen M&M falling M up when tossed).
Probability
stochastic processes
Bayesian methods
probability distribution
Modeling Scenario
400
views
153
downloads
0
comments
1-001s-StochasticMDeathImmigration-ModelingScenario
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
simulation
data
logistic
immigration
stochastic
death
fitting
Modeling Scenario
238
views
357
downloads
0
comments
5-090-SolidParticleErosion-ModelingScenario
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface.
classical mechanics
solid mechanics
Newton's Laws of Motion
rigid body
plasticity
pitting
ductile surface
Modeling Scenario
537
views
1396
downloads
0
comments
5-040-TunedMassDamper-Part-I-Modeling Scenario
We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original structure as a spring-mass-dashpot system.
structure
spring-mass-dashpot
spring mass
earthquake
vibration
tuned mass tuner
restoring force
control
dampe
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